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Finding the Third Proportional to 9,103.22 and 13,738.36

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Solution

The third proportional to 9,103.22 and 13,738.36 is: 20,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.22 : 13,738.36 = 13,738.36 : x
  2. Step 2: Convert to fraction form
    9,103.22/13,738.36 = 13,738.36/x
  3. Step 3: Cross multiply
    9,103.22x = 13,738.36 × 13,738.36
  4. Step 4: Simplify right side
    9,103.22x = 188,742,518.32
  5. Step 5: Solve for x
    x = 188,742,518.32/9,103.22
  6. Step 6: Final answer
    x = 20,733.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.